New results on delay-dependent stability for time-delay chaotic systems via time-delay feedback control

Author

Li, Li ; Yu, Fajun

Author_Institution

Coll. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China

fYear

2009

fDate

17-19 June 2009

Firstpage

5675

Lastpage

5679

Abstract

This paper proposes a novel control method for delay-dependent stability of a class of time-delay chaotic systems via standard feedback control (SFC) and delayed feedback control (DFC). Based on a novel Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) technique, the delay-dependent stability criteria via SFC and DFC are derived. And the method can be obtained to stabilize the system to an unstable fixed point. An example is included to show the advantage of the proposed method.

Keywords

Lyapunov methods; chaos; delay systems; delays; feedback; linear matrix inequalities; Lyapunov-Krasovskii stability theory; delay-dependent stability criteria; delayed feedback control; linear matrix inequality technique; standard feedback control; time-delay chaotic system; time-delay feedback control; Adaptive control; Chaos; Control systems; Delay; Digital-to-frequency converters; Feedback control; Linear matrix inequalities; Plasma chemistry; Stability; State feedback; Chaos systems; Chaotic system; Delayed feedback control; Delayed feedback control(DFC); LMI; Standard feedback control; Standard feedback control (SFC); Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5195210

Filename

5195210